Semi-analytic solution of three-dimensional temperature distribution in multilayered materials based on explicit frequency response functions

Zhang, Haibo; Wang, Wenzhong; Zhang, Shengguang; Zhao, Ziqiang

doi:10.1016/j.ijheatmasstransfer.2017.10.118

Cited by 20 publications

(6 citation statements)

References 30 publications

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“…The performance investigation of CPTOF includes the analysis of velocity field, pressure field and power consumption. The governing equations involved are presented as follows [18]- [21]:…”

Section: B Governing Equationsmentioning

confidence: 99%

Investigation on Sealing Performance and Power Consumption of a Novel Centrifugal Pump Type Oil Flinger for Turbocharger

et al. 2021

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Energy efficient conversion and saving technologies have increasingly become areas of fierce competition among countries all over the world. As a vehicle power multiplier, the turbocharger advances the power output of the engine, but also increases the power consumption due to oil leakage, which aggravates the fuel energy consumption. This work aims to investigate the sealing performance and power consumption of the proposed novel centrifugal pump type oil flinger (CPTOF) to suppress the oil leakage and reduce the power consumption of turbocharger, thereby saving fuel energy. First, the flow characteristics of CPTOF and traditional oil flinger were compared based on the established oil-air flow numerical model. Then, the effects of oil slinging hole number Z, diameter dh and inclination angle α on pumping air performance and power consumption of CPTOF were analyzed. Finally, the structural parameters of CPTOF were optimized using the orthogonal table L9(3 4 ) and the results were verified through experiment. Results showed that the oil leakage of sealing structure was effectively prevented by the pumping air effect. Moreover, Z, α and dh also had significantly effects on the sealing performance and the power consumption, and the degree of influence raised in turn. The CPTOF with Z=16, dh=1.80 mm and α=0° had the optimum working efficiency, resulting in the average pressure drop being extended to 107 kPa and the power consumption being reduced by 33.05%.INDEX TERMS Centrifugal pump type oil flinger, turbocharger, pumping air effect, power consumption.

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“…The performance investigation of CPTOF includes the analysis of velocity field, pressure field and power consumption. The governing equations involved are presented as follows [18]- [21]:…”

Section: B Governing Equationsmentioning

confidence: 99%

Investigation on Sealing Performance and Power Consumption of a Novel Centrifugal Pump Type Oil Flinger for Turbocharger

et al. 2021

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“…The last one makes the FFT-based approaches more widely applicable and powerful because many governing differential equations can be more easily solved in the frequency domain through the Fourier transform, such as those for functionally graded materials (Ke and Wang, 2006), thermoelastically graded materials (Choi and Paulino, 2008), thermally graded materials (Zhang H. B. et al, 2018), materials with coupled stresses (Wang et al, 2020), and magnetoelectroelastic materials (Zhou and Lee, 2013). In addition, because the surface deformation analysis is an intermittent process of the elastohydrodynamic lubrication (EHL) calculation and related modeling, the FFT-based solutions are also building blocks in the models of mixed EHL in general (Liu et al, 2006, 3D line-contact EHL (Ren et al, 2009), finite-roller EHL (Zhang H. B. et al, 2017 with IC-overlapping DC-FFT, Liu et al, 2020 with DCD-FFT), coating EHL (Liu Y. et al, 2007 for single coatings, Wang et al (2015) for multilayered coatings), plasto-EHL (Ren et al, 2010), EHL of inhomogeneous materials (Wang et al, 2014), wear in EHL (Zhu et al, 2007), EHL of transversely isotropic materials (Wang and Zhang, 2019), EHL of artificial joints (Wang and Jin, 2004), and EHL of 2D bearings (Liu and Chen, 2012).…”

Section: Range Of Applications Of the Fft Approachesmentioning

confidence: 99%

FFT-Based Methods for Computational Contact Mechanics

et al. 2020

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Computational contact mechanics seeks for numerical solutions to contact area, pressure, deformation, and stresses, as well as flash temperature, in response to the interaction of two bodies. The materials of the bodies may be homogeneous or inhomogeneous, isotropic or anisotropic, layered or functionally graded, elastic, elastoplastic, or viscoelastic, and the physical interactions may be subjected to a single field or multiple fields. The contact geometry can be cylindrical, point (circular or elliptical), or nominally flat-to-flat. With reasonable simplifications, the mathematical nature of the relationship between a surface excitation and a body response for an elastic contact problem is either in the form of a convolution or correlation, making it possible to formulate and solve the contact problem by means of an efficient Fourier-transform algorithm. Green's function inside such a convolution or correlation form is the fundamental solution to an elementary problem, and if explicitly available, it can be integrated over a region, or an element, to obtain influence coefficients (ICs). Either the problem itself or Green's functions/ICs can be transformed into a space-related frequency domain, via a Fourier transform algorithm, to formulate a frequency-domain solution for contact problems. This approach converts the original tedious integration operation into multiplication accompanied by Fourier and inverse Fourier transforms, and thus a great computational efficiency is achieved. The conversion between ICs and frequency-response functions facilitate the solutions to problems with no explicit space-domain Green's function. This paper summarizes different algorithms involving the fast Fourier transform (FFT), developed for different contact problems, error control, as well as solutions to the problems involving different contact geometries, different types of materials, and different physical issues. The related works suggest that (i) a proper FFT algorithm should be used for each of the cylindrical, point, and nominally flat-flat contact problems, and then (ii) the FFT-based algorithms are accurate and efficient. In most cases, the ICs from the 0order shape function can be applied to achieve satisfactory accuracy and efficiency if (i) is guaranteed.

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“…ermophysical parameters of different layers of skin tissue are different. So it is difficult to solve the heat transfer model of skin tissue by analytical method [9,11,21,22]. Numerical methods were often used to solve this problem [23].…”

Section: Introductionmentioning

confidence: 99%

Prediction of Temperature Field and Thermal Damage of Multilayer Skin Tissues Subjected to Time-Varying Laser Heating and Fluid Cooling by a Semianalytical Method

Lin²,

Wan

2020

Mathematical Problems in Engineering

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A semianalytical method based on the separation of variables is presented to solve the problem of heat transfer in multilayer skin tissues. This method is used to predict the temperature field and thermal damage of skin tissues, which are subjected to the time-varying laser heating and fluid cooling. The effect of convective heat transfer coefficient of the skin surface on temperature field and thermal damage is studied. The temperature field and thermal damage of skin tissue with different laser heating cycles are calculated. The relationship between the laser heating period and the temperature fluctuation is obtained. The effects of the peak time of laser heating on temperature and the thermal damage of skin tissues are investigated. The relationship between the peak time of laser and the temperature fluctuation of skin tissue is drawn. The results calculated in this paper can provide some guidance for hyperthermia of skin tissue. The presented semianalytical method can be applied to solve the general heat transfer problems of multilayer structures.

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Semi-analytic solution of three-dimensional temperature distribution in multilayered materials based on explicit frequency response functions

Cited by 20 publications

References 30 publications

Investigation on Sealing Performance and Power Consumption of a Novel Centrifugal Pump Type Oil Flinger for Turbocharger

Investigation on Sealing Performance and Power Consumption of a Novel Centrifugal Pump Type Oil Flinger for Turbocharger

FFT-Based Methods for Computational Contact Mechanics

Prediction of Temperature Field and Thermal Damage of Multilayer Skin Tissues Subjected to Time-Varying Laser Heating and Fluid Cooling by a Semianalytical Method

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